Lattice sensor networks: capacity limits, optimal routing and robustness to failures
Proceedings of the 3rd international symposium on Information processing in sensor networks
Global Clock Synchronization in Sensor Networks
IEEE Transactions on Computers
On the robustness of grid-based deployment in wireless sensor networks
Proceedings of the 2006 international conference on Wireless communications and mobile computing
Multidimensional Linear Iterative Circuits General Properties
IEEE Transactions on Computers
A direct-construction approach to multidimensional realization and LFR uncertainty modeling
Multidimensional Systems and Signal Processing
IEEE Transactions on Signal Processing
An exhaustive search algorithm for checking limit cycle behavior ofdigital filters
IEEE Transactions on Signal Processing
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Using the Givone-Roesser and the Fornasini-Marchesini state space models for m-D systems, a method for distributed information processing in rectangular grid based wireless sensor networks is presented. It can be used for distributed implementation of any general linear system on a grid sensor network. Nonlinearities caused by finite precision number representation schemes used for in node computations and inter node communication are modeled. Stability of the system is analyzed with special consideration given to the influence of inter-node communication on system dynamics. A necessary and sufficient condition for global asymptotic stability under finite precision arithmetic is established. Simulation results are presented to illustrate the theoretical results.